Area of Shapes The area of a shape is the space it occupies.

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Presentation transcript:

Area of Shapes The area of a shape is the space it occupies. Write down the name of each shape. A powerpoint presentation by Carmelo Ellul Head of Department (Mathematics) Parallelogram Trapezium Square Rectangle Circle Triangle

Area of Shapes Click button to select topic. Square Rectangle Parallelogram Triangle Trapezium Circle End Show

The Square Area = l x b e.g. Find the area of a square of side 3.5 cm. Discuss and work out this example together with your friend. breadth b A = l x b A = 3.5 cm x 3.5 cm = 12.25 cm2 l length

The Rectangle Area = l x b e.g. Find the area of a rectangle of length 3.5 cm and height 80 mm. Discuss and work out this example together. Since units must be the same: 10 mm = 1 cm 80 mm = 80 mm ÷ 10 = 8 cm A = l x b A = 3.5 cm x 8 cm = 28 cm2 b l

The Parallellogram Area = b x h e.g. Find the area of a parallelogram correct to 1 d.p. 3.8 cm 10.3 cm h height base b Discuss and work out this example together. A = b x h A = 10.3 cm x 3.8 cm = 39.14 cm2 = 39.1 cm2 b h

The Triangle Area = ½ b h e.g. Find the area of triangle ABC correct to the nearest cm2. 11.7 cm 4 cm A B C height h b base Area of = ½b  h b h Area of = ½ area of parallelogram b h A = ½b x h A = ½ x 4 cm x 11.7 cm = 23.4 cm2 = 23 cm2 Area of parallelogram = b  h b h Discuss and work out this example together.

Decide about the values The Trapezium Area = ½h(a + b) e.g. Find the area of the trapezium. Length of side a a 12 cm 8.5 cm 6 cm h height Length of side b b h = 6cm, a = 8.5 cm, b = 12 cm A = ½h(a + b) A = ½ x 6 cm x (8.5 cm + 12 cm) = ½ x 6 cm x 20.5 cm = 61.5 cm2 Decide about the values of a, b and h to find the area. a b h Rotate the trapezium b a Area of 1 trapezium is half h(a + b)  Area of trapezium = ½ h(a + b) The 2 trapeziums form a parallelogram Area of parallelogram = h(a + b) Copy the trapezium

The Circle Area = p r2 = p x 9.5 cm x 9.5 cm e.g. The diameter of a circle is 19 cm. Find, correct to nearest whole number, the area of a circle. Radius r Find the radius first and then work out this example together. r = 19 cm ÷ 2 = 9.5 cm. A = p r2 = p x 9.5 cm x 9.5 cm = 283.5 cm2 = 284 cm2 Centre Remember: the radius of a circle is half the diameter.

The Circle Area = p r2 = p x 9.5 cm x 9.5 cm e.g. The diameter of a circle is 19 cm. Find, correct to nearest whole number, the area of a circle. r r = 19 cm ÷ 2 = 9.5 cm. A = p r2 = p x 9.5 cm x 9.5 cm = 283.5 cm2 = 284 cm2 Remember: the radius of a circle is half the diameter. End Show